1025440200 has 288 divisors, whose sum is σ = 3597258600. Its totient is φ = 261550080.

The previous prime is 1025440189. The next prime is 1025440259. The reversal of 1025440200 is 20445201.

1025440200 is a `hidden beast` number, since 1 + 0 + 25 + 440 + 200 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 282441636 + 742998564 = 16806^2 + 27258^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5927314 + ... + 5927486.

Almost surely, 2^1025440200 is an apocalyptic number.

1025440200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1025440200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798629300).

1025440200 is an abundant number, since it is smaller than the sum of its proper divisors (2571818400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1025440200 is a wasteful number, since it uses less digits than its factorization.

1025440200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 1025440200 is about 32022.4952182056. The cubic root of 1025440200 is about 1008.4091545714.

Adding to 1025440200 its reverse (20445201), we get a palindrome (1045885401).

The spelling of 1025440200 in words is "one billion, twenty-five million, four hundred forty thousand, two hundred".